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Kay [80]
3 years ago
14

Which equation represents this sentence? One-half the sum of a number and four is three less than the quotient of five and the n

umber. 12n+4=5n−3 12(n+4)=5n−3 12n+4=3−5n 12(n+4)=3−5n
Mathematics
1 answer:
ehidna [41]3 years ago
6 0

Answer:

Step-by-step explanation:

"one half the sum of a number and 4" is (1/2)(n + 4)

"three less than the quotient of 5 and the number" is 5/n - 3

putting this all together, we get

(1/2)(n + 4) = (5/n) - 3

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Answer:

Since the calculated value of  z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.

Step-by-step explanation:

The data given is

Population mean μ= $ 7.18

Population variance= σ²= 3.81

Population Standard Deviation = √σ²= √3.81= 1.952

Sample Mean= x`= $ 8.02

Sample Standard Deviation =s = $ 2.08

Sample Size = 15

Significance Level = ∝= 0.05

The null and alternate hypotheses are

H0: σ1=σ2 against the claim that Ha: σ1≠ σ2

where  σ1 is the population variance and

σ2 is the sample variance

The rejection region is Z ≥ ±1.96 for two tailed test  at ∝= 0.05

The test statistic z is used

z= x`-  μ/ σ/√n

Putting the values

Z= 8.02-7.18/1.952/√15

z= 0.84/0.51599

z= 1.6279

Since the calculated value of  z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.

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Solve for x <br> 2x + 6 ≥ 16
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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